Objectives

Objectives for Performance Task

After completing this task, students will be able to

• Find the average velocity of an object, given its position as a function of time
• Use the concept of limits to describe how the average velocity can be used to approximate the instantaneous velocity
• Relate the concepts of average and instantaneous velocity to the secant and tangent line ideas used to define the derivative
• Use the derivative of the position function to find the instantaneous velocity of an object
• Use the derivative of the velocity function to find the instantaneous acceleration of an object
• Explain what these different functions mean in terms of the rate of change of one variable with respect to another